1. Defining the function
First, we need to define a function that will take an array as input and return the sign of the product of its elements. We can name this function get_product_sign. Here’s how we can define the function:
«`python
def get_product_sign(arr):
pass
«`
Now that we have defined the function, we can move on to the next step.
2. Initializing the product variable
In order to calculate the product of the array elements, we need to initialize a variable to hold the product. We can name this variable product and set its initial value to 1. Here’s how we can do this:
«`python
def get_product_sign(arr):
product = 1
«`
Now that we have initialized the product variable, we can move on to the next step.
3. Calculating the product of the matrix
Next, we need to calculate the product of the array elements. We can do this by iterating over each element in the array and multiplying it with the current value of the product variable. Here’s how we can calculate the product:
«`python
def get_product_sign(arr):
product = 1
for num in arr:
product *= num
«`
Now that we have calculated the product of the array elements, we can move on to the next step.
4. Checking the sign of the product
After calculating the product, we need to check its sign. If the product is positive, we will return 1. If the product is negative, we will return -1. If the product is zero, we will return 0. Here’s how we can check the sign of the product:
«`python
def get_product_sign(arr):
product = 1
for num in arr:
product *= num
if product > 0:
return 1
elif product < 0:
return -1
else:
return 0
```
Now that we have checked the sign of the product, we can move on to the next step.
5. Returning the sign
Finally, we need to return the sign of the product from the function. We can do this by adding a return statement at the end of the function. Here’s how we can return the sign:
«`python
def get_product_sign(arr):
product = 1
for num in arr:
product *= num
if product > 0:
return 1
elif product < 0:
return -1
else:
return 0
```
Now that we have returned the sign of the product, we can move on to the final step.
6. Testing the function
Now that we have defined the function, we can test it with different arrays to see if it returns the correct sign of the product. Here’s an example of how we can test the function:
«`python
arr1 = [1, 2, 3, 4, 5]
arr2 = [-1, -2, -3, -4, -5]
arr3 = [0, 1, 2, 3, 4, 5]
print(get_product_sign(arr1)) # Output: 1
print(get_product_sign(arr2)) # Output: -1
print(get_product_sign(arr3)) # Output: 0
«`
By running the above code, we should get the expected outputs for each array.
That’s it! We have successfully written a Python program to return the sign of the product of an array. We defined a function, initialized the product variable, calculated the product of the array elements, checked the sign of the product, returned the sign, and tested the function with different arrays. Now you can use this program to easily determine the sign of the product of any array in Python.